Podcast
Questions and Answers
What is the result of converting 2 3/4 to an improper fraction?
What is the result of converting 2 3/4 to an improper fraction?
What is the least common multiple of 4 and 6?
What is the least common multiple of 4 and 6?
What is an example of a real-world application of adding and subtracting fractions with like and unlike denominators?
What is an example of a real-world application of adding and subtracting fractions with like and unlike denominators?
What is the result of multiplying both numerator and denominator of 1/2 by 3?
What is the result of multiplying both numerator and denominator of 1/2 by 3?
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What is the result of adding 1/4 and 2/4?
What is the result of adding 1/4 and 2/4?
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Study Notes
Equivalent Ratios
- Two fractions are equivalent if they have the same value
- Can be obtained by multiplying or dividing both numerator and denominator by the same number
- Example: 1/2 is equivalent to 2/4 or 3/6
- To find an equivalent ratio, multiply or divide both numerator and denominator by the same number
Converting Mixed Numbers
- A mixed number is a combination of a whole number and a proper fraction
- Can be converted to an improper fraction by multiplying the whole number part by the denominator and adding the numerator
- Example: 2 3/4 = (2 x 4) + 3 = 11/4
- Can be converted back to a mixed number by dividing the numerator by the denominator and finding the remainder
Like and Unlike Denominators
- Like denominators: fractions with the same denominator
- Can be added or subtracted by adding or subtracting the numerators and keeping the same denominator
- Example: 1/4 + 2/4 = 3/4
- Unlike denominators: fractions with different denominators
- Need to find the least common multiple (LCM) of the denominators to add or subtract
- Example: 1/4 + 1/6 = find LCM of 4 and 6, which is 12, then convert both fractions to have a denominator of 12: 3/12 + 2/12 = 5/12
Real-world Applications
- Measuring ingredients for cooking or baking
- Measuring distances or lengths in construction or carpentry
- Comparing proportions of different quantities
- Solving problems involving parts of a whole, such as dividing a pizza or a cake
- Real-world examples help to illustrate the importance of adding and subtracting fractions with like and unlike denominators
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Description
Learn about equivalent ratios, converting mixed numbers, and adding/subtracting fractions with like and unlike denominators. Real-world applications are also discussed.
